Finally, it is notable that our proposed \(T^{f_d}_R\)  approach (and \(T^{f_d}_L\) ) enables us to find closed-form inclusion functions for a wide class of vector fields. This, can be analytically beneficial, e.g., in convergence analysis for reachable sets or stability analysis in interval observer designs [1]}, [2]}. This is in contrast to natural, centered and mixed-centered inclusions (and also \(T^{f_d}_O\)  in general), where a closed-form inclusion function for general classes of functions, is often not available.
